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Q3: Suppose the random variables X, Y, and Z have the following joint probability distribution are as shown in the table: Z f(x,y,z) 0 0.4 0.3 0.2 X 0 0 0 OO 0 Y 1 1 2 2 1 0 1 0.1 Determine the following: a) P(Y = 2). b) P(Z < 0.5). c) P(X=0 | Y = 2). d) P(X= 0,Y = 1|Z = 0)

Q3: Suppose the random variables X, Y, and Z have the following joint probability distribution are as shown in the table: Z f(x,y,z) 0 0.4 0.3 0.2 X 0 0 0 OO 0 Y 1 1 2 2 1 0 1 0.1 Determine the following: a) P(Y = 2). b) P(Z < 0.5). c) P(X=0 | Y = 2). d) P(X= 0,Y = 1|Z = 0)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q3: Suppose the random variables X, Y, and Z have the following joint probability distribution are as shown in the table: Z f(x,y,z) 0 0.4 1 0.3 0 0.2 1 0.1 X 0 0 0 O Y 1 1 2 2 Determine the following: a) P(Y = 2). b) P(Z < 0.5). c) P(X = 0 | Y = 2). d) P(X = 0,Y = 1 | Z = 0)
Transcribed Image Text:Q3: Suppose the random variables X, Y, and Z have the following joint probability distribution are as shown in the table: Z f(x,y,z) 0 0.4 1 0.3 0 0.2 1 0.1 X 0 0 0 O Y 1 1 2 2 Determine the following: a) P(Y = 2). b) P(Z < 0.5). c) P(X = 0 | Y = 2). d) P(X = 0,Y = 1 | Z = 0)
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